a rational point of an algebraic variety is a point whose coordinates belong to a given field. If the field is not mentioned, the field of rational numbers...
21 KB (3,028 words) - 19:56, 26 January 2023
Rationality is the quality of being guided by or based on reason. In this regard, a person acts rationally if they have a good reason for what they do...
135 KB (15,400 words) - 19:51, 19 June 2024
rational point is a point with rational coordinates (i.e., a point whose coordinates are rational numbers); a rational matrix is a matrix of rational...
24 KB (3,494 words) - 14:12, 30 July 2024
expressed as a ratio of two integers Rational point of an algebraic variety, a point defined over the rational numbers Rational function, a function that may...
1 KB (180 words) - 01:10, 23 April 2023
Affine variety (section Rational points)
are said k-rational or rational over k. In the common case where k is the field of real numbers, a k-rational point is called a real point. When the field...
29 KB (4,125 words) - 14:28, 7 February 2024
Algebraic curve (redirect from Rational curve)
the rational normal curve, where all these polynomials are monomials. Any conic section defined over F with a rational point in F is a rational curve...
49 KB (7,984 words) - 19:34, 7 February 2024
hypersurface at a single other point, which is rational if and only if the line is rational (that is, if the line is defined by rational parameters). This allows...
33 KB (4,801 words) - 17:22, 11 August 2024
Gaussian rational number is a complex number of the form p + qi, where p and q are both rational numbers. The set of all Gaussian rationals forms the...
3 KB (404 words) - 18:08, 26 June 2024
establishes that each rational point of the x-axis goes over to a rational point of the unit circle. The converse, that every rational point of the unit circle...
81 KB (11,394 words) - 17:10, 7 August 2024
rational point (a/c, b/c), which, in the complex plane, is just a/c + ib/c, where i is the imaginary unit. Conversely, if (x, y) is a rational point on...
8 KB (1,226 words) - 07:08, 10 May 2024